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Power, torque and speed calculation: motor selection

From load to motor: steady-state and acceleration power, standard IEC frame size, number of poles and reduction ratio for a rotating or translating load.

Induction motorsIEC frame sizesTorqueGearboxInertia
Free tool. For a real project the numbers must be checked on the specific case: if you need help, request a consultation or call +39 333 829 7733.
CalculatorThe result updates as you type
Load
N·m
rpm
kg·m²
Load
N
m/s
kg
mm
Transmission and duty
s
%
1.0 uniform · 1.25 light shocks · 1.5 heavy shocks

Want someone to check this calculation? The request is sent with the data and results already filled in: just add a description of the problem.

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Indicative results, provided for preliminary estimation. They do not replace the design and verification of the real case by a qualified professional.

How to use it

Describe the load: for a rotating machine (table, roller, agitator) the resisting torque, speed and inertia; for a translating load (carriage, conveyor, hoist) the force, speed, mass and the diameter of the drum or pinion that turns it into rotation. Add acceleration time, transmission efficiency and service factor.

The tool calculates steady-state and peak power, picks the standard IEC frame size and compares 2, 4, 6 and 8-pole motors with the reduction ratio needed for each. If you specify a ratio, it chooses the most suitable number of poles.

Formulas used

Angular velocity ω = 2π·n / 60 Steady-state power P = C·ω / η Acceleration torque Ca = J·ω / ta Translation C = F·D/2 n = v / (π·D) · 60 J = m·(D/2)² Rated torque Cn [N·m] = 9550 · P [kW] / n [rpm] Ratio i = n_motor / n_load

Motor speeds are indicative at 50 Hz; the nameplate value depends on frame size and manufacturer. The start-up check compares the torque required at the motor shaft with the rated torque: standard induction motors can deliver about 1.6–2 times the rated torque at start-up, less if started star-delta.

What remains to be checked

The real duty cycle (continuous, intermittent, with frequent starts), ambient temperature, altitude, the motor's own inertia, braking and any inverter change the choice. Fast axes and positioning need servomotors, sized on the cycle's RMS torque. It's the sizing work we do in the automation and robotics service.

FAQ

What's the difference between power and torque?

Torque is the turning effort, power is torque times speed. For the same power, a slow motor develops more torque than a fast one: that's why a gearbox lets you use a small, fast motor on a slow, heavy load.

How many poles should I choose?

The 4-pole motor (about 1450 rpm at 50 Hz) is the most common and cheapest for a given power. 2 poles are for fast pumps and fans; 6 and 8 poles reduce the gearbox ratio on slow loads.

What is the service factor?

It's a multiplier that accounts for shocks, frequent starts and overloads compared with uniform operation. It's chosen based on the type of machine and daily operating hours.

Do I need to consider the motor's inertia?

Yes, especially with low reduction ratios or frequent starts. The rotor inertia adds to that of the load referred to the motor shaft and increases the acceleration torque.

Technical consulting

From rough calculation to verified design

An online tool answers one question at a time. A project brings a hundred together: real loads, materials, standards, costs and production. If you need help, write to us or call us for a consultation.